Sum to Product Trigonometry Identities Calculator

Calculate Sum to Product Trigonometry Identities

Simplify complex trigonometric expressions effortlessly with our Sum to Product Identities Calculator. Instantly convert sums or differences of sines and cosines into products, making advanced math and physics problems easier to solve. Ideal for students, educators, and engineers needing quick, accurate trig identity transformations for calculus, signal processing, and more.

Formula:

Convert sum/difference trigonometric expressions into products:

  • sin(A) + sin(B) = 2 sin((A+B)/2) cos((A-B)/2)
  • sin(A) - sin(B) = 2 cos((A+B)/2) sin((A-B)/2)
  • cos(A) + cos(B) = 2 cos((A+B)/2) cos((A-B)/2)
  • cos(A) - cos(B) = -2 sin((A+B)/2) sin((A-B)/2)

Where A and B are angles in degrees or radians.

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